| Instructor/TA | Office | Office hour | |
| Dr. Chi Li | Thursday 2pm-3pm | chi.li@rutgers.edu |
| Reference Books | Canvas | Policies | Services |
|
Week |
Sections |
Notes |
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Week 1: 9/5-9/9 |
Complex manifolds |
Complex structures on S6 |
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Week 2: 9/12-9/16 |
De Rham and Dolbeault cohomology Sheaves |
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Week 3: 9/19-9/23 |
Cohomology of sheaves de Rham Theorem, Dolbeault Theorem |
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Week 4: 9/26-9/30 |
Poincare Duality Intersection of Analytic cycles |
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Week 5: 10/3-10/7 |
Holomorphic vector bundles, Chern Classes Hodge theorem |
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Week 6: 10/10-10/14 |
Hodge theorem Hirzebruch-Riemann-Roch theorem |
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Week 7: 10/17-10/21 |
Kahler manifold Hodge Decomposition, Lefschetz Decomposition |
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Week 8: 10/24-10/28 |
Line bundles, Divisors Kodaira vanishing theorem |
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Week 9: 10/31-11/4 |
Lefschetz hyperplane theorem Lefschetz (1,1)-theorem, Hodge conjecture |
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Week 10: 11/7-11/11 |
Kodaira embedding theorem |
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Week 11: 11/14-11/18 |
Hodge Filtrations of Hypersurfaces |
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Week 12: 11/21-11/25 |
Lefschetz pencils |
Thanksgiving Recess 11/24-11/28 |
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Week 13: 11/28-12/2 |
Lefschetz's (1,1) theorem via normal functions |
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Week 14: 12/5-12/9 |
Presentations |
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Week 15: 12/12-12/16 |
Classes end on 12/13
Reading Days (12/14-12/15) |
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Rutgers is fully commited to compliance with the American with Disabilities Act; policies and procedures are indicated at http://ods.rutgers.edu/
Students who wish to request special accommodations must present a Letter of Accommodations to the instructor as early in the term as possible (see https://ods.rutgers.edu/letter-accommodation )
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